Results 31 to 40 of about 1,537 (138)

On the structure of complex solvmanifolds [PDF]

Journal of Differential Geometry, 1988
A connected complex space X is called a solvmanifold if there is a connected complex solvable Lie group G which acts holomorphically and transitively on it. The aim of the paper is to study two classes of solvmanifolds: i) X is Kähler, ii) X is separable by analytic hypersurfaces.
Oeljeklaus, Karl, Richthofer, Wolfgang
openaire   +3 more sources

Foliation-preserving Maps Between Solvmanifolds [PDF]

Geometriae Dedicata, 1998
For i = 1,2, let Gamma_i be a lattice in a simply connected, solvable Lie group G_i, and let X_i be a connected Lie subgroup of G_i. The double cosets Gamma_igX_i provide a foliation F_i of the homogeneous space Gamma_i\G_i. Let f be a continuous map from Gamma_1\G_1 to Gamma_2\G_2 whose restriction to each leaf of F_1 is a covering map onto a leaf of ...
Holly Bernstein, Dave Witte
openalex   +6 more sources

SMALL COVER, INFRA-SOLVMANIFOLD AND CURVATURE [PDF]

, 2011
It is shown that a small cover (resp. real moment-angle manifold) over a simple polytope is an infra-solvmanifold if and only if it is diffeomorphic to a real Bott manifold (resp. flat torus).
S. Kuroki, M. Masuda, Li Yu
semanticscholar   +1 more source

Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]

, 2017
We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections $\nabla^{\varepsilon,\rho}$ in the anomaly cancellation equation.
Otal, A., Ugarte, L., Villacampa, R.
core   +4 more sources

On Kodaira dimension of almost complex 4-dimensional solvmanifolds without complex structures [PDF]

International Journal of Mathematics, 2020
The aim of this paper is to continue the study of Kodaira dimension for almost complex manifolds, focusing on the case of compact [Formula: see text]-dimensional solvmanifolds without any integrable almost complex structure.
A. Cattaneo, Antonella Nannicini, A. Tomassini   +2 more
semanticscholar   +1 more source

An extention of Nomizu’s Theorem –A user’s guide–

Complex Manifolds, 2016
For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
doaj   +1 more source

Bott–Chern Formality and Massey Products on Strong Kähler with Torsion and Kähler Solvmanifolds [PDF]

Journal of Geometric Analysis
We study the interplay between geometrically-Bott–Chern-formal metrics and SKT metrics. We prove that a 6-dimensional nilmanifold endowed with a invariant complex structure admits an SKT metric if and only if it is geometrically-Bott–Chern-formal.
Tommaso Sferruzza, Адриано Томассини   +1 more
openalex   +2 more sources

Six-dimensional complex solvmanifolds with non-invariant trivializing sections of their canonical bundle [PDF]

Mathematische Nachrichten
It is known that there exist complex solvmanifolds whose canonical bundle is trivialized by a holomorphic section that is not invariant under the action of .
Alejandro Tolcachier
openalex   +2 more sources

Examples of solvmanifolds without LCK structures

Complex Manifolds, 2018
The purpose in this paper is to construct solvmanifolds without LCK structures such that the complex structure is left ...
Sawai Hiroshi
doaj   +1 more source

An averaging formula for Nielsen numbers on infra-solvmanifolds [PDF]

Journal of Fixed Point Theory and Applications, 2020
Until now only for special classes of infra-solvmanifolds, namely, infra-nilmanifolds and infra-solvmanifolds of type ( R ), there was a formula available for computing the Nielsen number of a self-map on those manifolds.
K. Dekimpe, Iris van Den Bussche
semanticscholar   +1 more source